Question

The correct match between the entries in column I and column II are :

JEE Main 2020 (05 Sep Shift 2)

Options

• A: (a)–(ii), (b) – (i), (c) – (iv), (d) – (iii)
• B: (a)–(i), (b) – (iii), (c) – (iv), (d) – (ii)
• C: (a)–(iii), (b) – (ii), (c) – (i), (d) – (iv)
• D: (a)–(iv), (b) – (ii), (c) – (i), (d) – (iii)

Question

A linearly polarised electromagnetic wave in vacuum is $E=3.1\cos \left[\left(1.8\right)z-\left(5.4\times {10}^6\right)t\right]\hat{\mathrm{i}} \mathrm{N} {\mathrm{C}}^{-1}$ is incident normally on a perfectly reflecting wall at $z=a$. Choose the correct option.

JEE Main 2021 (25 Jul Shift 1)

Options

• A: The wavelength is $5.4 \mathrm{m}$.
• B: The frequency of electromagnetic wave is $54\times {10}^4 \mathrm{Hz}$.
• C: The transmitted wave will be
  $3.1\cos \left[\left(1.8\right)z-\left(5.4\times {10}^6\right)t\right]\hat{\mathrm{i}} \mathrm{N}/\mathrm{C}$.
• D: The reflected wave will be
  $3.1\cos \left[\left(1.8\right)\mathrm{z}+\left(5.4\times {10}^6\right)t\right]\hat{\mathrm{i}} \mathrm{N} {\mathrm{C}}^{-1}$.

Question

The electric field in an electromagnetic wave is given by
$E=\left(50 \mathrm{N} {\mathrm{C}}^{-1}\right)\sin \omega (t-\frac{x}{c})$
The energy contained in a cylinder of volume $V$ is $5.5\times {10}^{-12} \mathrm{J}.$ The value of $V$ is _______ ${\mathrm{cm}}^3.$
(given ${ϵ}_0=8.8\times {10}^{-12}{\mathrm{C}}^2{ \mathrm{N}}^{-1}{ \mathrm{m}}^{-2}$)

JEE Main 2021 (31 Aug Shift 1)

Enter your answer

Question

There are two infinitely long straight current-carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductors is $1:1$. The magnetic field at point $P$ is$\_\_\_\_\_\_\_\_\_.$

JEE Main 2021 (01 Sep Shift 2)

Options

• A: $\frac{{\mu }_0\mathrm{I}}{4\mathrm{\pi xy}}\left[\sqrt{x^2+y^2}-(x+y)\right]$
• B: $\frac{{\mu }_0\mathrm{I}xy}{4\mathrm{\pi }}\left[\sqrt{x^2+y^2}-(x+y)\right]$
• C: $\frac{{\mu }_0\mathrm{I}}{4\mathrm{\pi xy}}\left[\sqrt{x^2+y^2}+(x+y)\right]$
• D: $\frac{{\mu }_0\mathrm{I}xy}{4\mathrm{\pi }}\left[\sqrt{x^2+y^2}+(x+y)\right]$

Question

Match List - I with List - II.

Choose the correct answer from the options given below:

JEE Main 2021 (24 Feb Shift 2)

Options

• A: (a)-(ii), (b)-(iv), (c)-(vi), (d)-(iii)
• B: (a)-(vi), (b)-(iv), (c)-(i), (d)-(v)
• C: (a)-(vi), (b)-(v), (c)-(i), (d)-(iv)
• D: (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

Question

The electric field in an electromagnetic wave is given by $E=56.5\sin \omega \left(\frac{t-x}{c}\right){\mathrm{NC}}^{-1}$. Find the intensity of the wave if it is propagating along $x$-axis in the free space. (Given ${ϵ}_0=8.85\times {10}^{-12}{\mathrm{C}}^2{ \mathrm{N}}^{-1}{ \mathrm{m}}^{-2}$) 

JEE Main 2022 (25 Jun Shift 1)

Options

• A: $5.65{\mathrm{Wm}}^{-2}$
• B: $1.9\times {10}^{-7}{\mathrm{Wm}}^{-2}$
• C: $4.24 {\mathrm{Wm}}^{-2}$
• D: $56.5{\mathrm{Wm}}^{-2}$

Question

The electromagnetic waves travel in a medium at a speed of $2.0\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$. The relative permeability of the medium is $1.0$. The relative permittivity of the medium will be

JEE Main 2022 (25 Jun Shift 2)

Options

• A: $2.25$
• B: $4.25$
• C: $6.25$
• D: $8.25$

Question

If Electric field intensity of a uniform plane electro magnetic wave is given as $E=-301.6\sin \left(kz-\omega t\right){\hat{a}}_x+452.4\sin \left(kz-\omega t\right){\hat{a}}_y \mathrm{V} {\mathrm{m}}^{-1}.$ Then, magnetic intensity $H$ of this wave in $\mathrm{A} {\mathrm{m}}^{-1}$ will be [Given : Speed of light in vacuum $c=3\times {10}^8{ \mathrm{m} \mathrm{s}}^{-1}$, Permeability of vacuum ${\mu }_0=4\pi \times {10}^{-7} \mathrm{N} {\mathrm{A}}^{-2}$]

JEE Main 2022 (26 Jun Shift 1)

Options

• A: $+0.8\sin \left(kz-\omega t\right){\hat{a}}_y+0.8\sin \left(kz-\omega t\right){\hat{a}}_x$
• B: $+1.0\times {10}^{-6}\sin \left(kz-\omega t\right){\hat{a}}_y+1.5\times {10}^{-6}\left(kz-\omega t\right){\hat{a}}_x$
• C: $-0.8\sin \left(kz-\omega t\right){\hat{a}}_y-1.2\sin \left(kz-\omega t\right){\hat{a}}_x$
• D: $-1.0\times {10}^{-6}\sin \left(kz-\omega t\right){\hat{a}}_y-1.5\times {10}^{-6}\sin \left(kz-\omega t\right){\hat{a}}_x$

Question

If $\overrightarrow{E}$ and $\overrightarrow{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by:

($\omega -$ angular frequency)

JEE Main 2023 (24 Jan Shift 1)

Options

• A: $\frac{1}{\omega }\left(\overrightarrow{K}\times \overrightarrow{E}\right)$
• B: $\omega \left(\overrightarrow{E}\times \overrightarrow{K}\right)$
• C: $\omega \left(\overrightarrow{K}\times \overrightarrow{E}\right)$
• D: $\overrightarrow{K}\times \overrightarrow{E}$

Question

Which of the following Maxwell’s equation is valid for time varying conditions but not valid for static conditions:

JEE Main 2023 (13 Apr Shift 1)

Options

• A: $\oint \overrightarrow{B}·\overrightarrow{dl}={\mu }_{0}I$
• B: $\oint \overrightarrow{E}·\overrightarrow{dl}=0$
• C: $\oint \overrightarrow{D}·\overrightarrow{dA}=Q$
• D: $\oint \overrightarrow{E}·d\overrightarrow{l}=-\frac{\partial {\varphi }_B}{\partial t}$

Question

Given below are two statements:

Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface

Statement II : Above the threshold frequency, the maximum kinetic energy of photoelectrons is inversely proportional to the frequency of the incident light

In the light of above statements, choose the correct answer from the options given below

JEE Main 2023 (13 Apr Shift 2)

Options

• A: Statement I is false but Statement II is true
• B: Statement I is true but Statement II is false
• C: Both Statement I and Statement II are true
• D: Both Statement I and Statement II are false

Question

Match List-I with List II of Electromagnetic waves with corresponding wavelength range:

Choose the correct answer from the options given below:

JEE Main 2023 (15 Apr Shift 1)

Options

• A: $\left(\mathrm{A}\right)-\left(\mathrm{IV}\right), \left(\mathrm{B}\right)-\left(\mathrm{I}\right), \left(\mathrm{C}\right)-\left(\mathrm{II}\right), \left(\mathrm{D}\right)-\left(\mathrm{III}\right)$
• B: $\left(\mathrm{A}\right)-\left(\mathrm{IV}\right), \left(\mathrm{B}\right)-\left(\mathrm{I}\right), \left(\mathrm{C}\right)-\left(\mathrm{III}\right), \left(\mathrm{D}\right)-\left(\mathrm{II}\right)$
• C: $\left(\mathrm{A}\right)-\left(\mathrm{IV}\right), \left(\mathrm{B}\right)-\left(\mathrm{II}\right), \left(\mathrm{C}\right)-\left(\mathrm{I}\right), \left(\mathrm{D}\right)-\left(\mathrm{III}\right)$
• D: $\left(\mathrm{A}\right)-\left(\mathrm{I}\right), \left(\mathrm{B}\right)-\left(\mathrm{IV}\right), \left(\mathrm{C}\right)-\left(\mathrm{II}\right), \left(\mathrm{D}\right)-\left(\mathrm{III}\right)$

Question

Electromagnetic waves travel in a medium with speed of $1.5 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}$. The relative permeability of the medium is 2.0 . The relative permittivity will be:

JEE Main 2024 (06 Apr Shift 1)

Options

• A: 2
• B: 4
• C: 5
• D: 1

Question

A plane EM wave is propagating along $x$ direction. It has a wavelength of $4 \mathrm{~mm}$. If electric field is in $y$ direction with the maximum magnitude of $60 \mathrm{Vm}^{-1}$, the equation for magnetic field is :

JEE Main 2024 (09 Apr Shift 1)

Options

• A: $\mathrm{B}_z=2 \times 10^{-7} \sin \left[\frac{\pi}{2} \times 10^3\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{k}} \mathrm{T}$
• B: $\mathrm{B}_z=60 \sin \left[\frac{\pi}{2}\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{k}} \mathrm{T}$
• C: $\mathrm{B}_x=60 \sin \left[\frac{\pi}{2}\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{i} ~ T}$
• D: $\mathrm{B}_z=2 \times 10^{-7} \sin \left[\frac{\pi}{2}\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{k}} \mathrm{T}$

Question

An object is placed in a medium of refractive index $3$. An electromagnetic wave of intensity $6\times {10}^8 \mathrm{W} {\mathrm{m}}^{-2}$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would be (speed of light in free space $=3\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$ ):

JEE Main 2024 (27 Jan Shift 2)

Options

• A: $36 \mathrm{N} {\mathrm{m}}^{-2}$
• B: $18 \mathrm{N} {\mathrm{m}}^{-2}$
• C: $6 \mathrm{N} {\mathrm{m}}^{-2}$
• D: $2 \mathrm{N} {\mathrm{m}}^{-2}$